111220102133100 has 648 divisors, whose sum is σ = 370524557973024. Its totient is φ = 27883429632000.

The previous prime is 111220102133093. The next prime is 111220102133113. The reversal of 111220102133100 is 1331201022111.

111220102133100 is a `hidden beast` number, since 1 + 11 + 220 + 102 + 1 + 331 + 0 + 0 = 666.

It is a super-3 number, since 3×111220102133100³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 24352987017 + ... + 24352991583.

Almost surely, 2^{111220102133100} is an apocalyptic number.

111220102133100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111220102133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185262278986512).

111220102133100 is an abundant number, since it is smaller than the sum of its proper divisors (259304455839924).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111220102133100 is a wasteful number, since it uses less digits than its factorization.

111220102133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5447 (or 5406 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 111220102133100 its reverse (1331201022111), we get a palindrome (112551303155211).

The spelling of 111220102133100 in words is "one hundred eleven trillion, two hundred twenty billion, one hundred two million, one hundred thirty-three thousand, one hundred".